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Ringdown frequencies in black holes formed from precessing black-hole binaries
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abstract
We present a simple formula for the effective ringdown frequencies of the gravitational-wave signal of a precessing black-hole binary in the co-precessing frame. This formula requires only knowledge of the quasi-normal mode frequencies of the system and the value of the precession angle $\beta$ during ringdown. Such a formula will be useful in modelling precessing systems. We also provide a comprehensive description of the oscillations in the ringdown frequency in an inertial frame where the spin of the final black hole is in the $z$-direction. These oscillations arise due to the superposition of the prograde and retrograde frequencies. Our understanding of these oscillations can be used to extract the ratio of the amplitudes of the prograde and retrograde frequencies from numerical data. Alternatively, knowledge of this ratio of the amplitudes can be used to produce a simple model of the time domain oscillations in the ringdown frequency.
Forward citations
Cited by 2 Pith papers
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PhenomXPNR: An improved gravitational wave model linking precessing inspirals and NR-calibrated merger-ringdown
PhenomXPNR is a fast frequency-domain gravitational-wave template for spinning black-hole mergers that combines post-Newtonian inspiral precession with numerical-relativity-calibrated merger and ringdown.
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Multimode ringdown modelling with $\texttt{qnmfits}$ and $\texttt{KerrRingdown}$
qnmfits and KerrRingdown are two independently written, cross-verified software packages for performing multimode ringdown fits to numerical relativity waveforms.
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